16200713100 has 288 divisors, whose sum is σ = 55628939520. Its totient is φ = 3588480000.

The previous prime is 16200713099. The next prime is 16200713203. The reversal of 16200713100 is 131700261.

It is a super-2 number, since 2×16200713100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4331031 + ... + 4334769.

It is an arithmetic number, because the mean of its divisors is an integer number (193156040).

Almost surely, 2^16200713100 is an apocalyptic number.

16200713100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16200713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27814469760).

16200713100 is an abundant number, since it is smaller than the sum of its proper divisors (39428226420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16200713100 is a wasteful number, since it uses less digits than its factorization.

16200713100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The spelling of 16200713100 in words is "sixteen billion, two hundred million, seven hundred thirteen thousand, one hundred".